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96222 = 2372979
BaseRepresentation
bin10111011111011110
311212222210
4113133132
511034342
62021250
7550350
oct273736
9155883
1096222
1166325
1247826
1334a49
14270d0
151d79c
hex177de

96222 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 26208.

The previous prime is 96221. The next prime is 96223. The reversal of 96222 is 22269.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96221) and next prime (96223).

It is a Harshad number since it is a multiple of its sum of digits (21).

96222 is a modest number, since divided by 222 gives 96 as remainder.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1179 + ... + 1257.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

296222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

96222 is an abundant number, since it is smaller than the sum of its proper divisors (134178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96222 is a wasteful number, since it uses less digits than its factorization.

96222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120.

The product of its digits is 432, while the sum is 21.

The square root of 96222 is about 310.1967117814. The cubic root of 96222 is about 45.8238378860.

It can be divided in two parts, 96 and 222, that multiplied together give a palindrome (21312).

The spelling of 96222 in words is "ninety-six thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 79 87 158 174 203 237 406 474 553 609 1106 1218 1659 2291 3318 4582 6873 13746 16037 32074 48111 96222